2004 AMC 8 第 5 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
5.
汉密尔顿老师的八年级班想参加一年一度的三人篮球队锦标赛。每场比赛的失败队伍会被淘汰。如果有十六支队伍参赛，需要打多少场比赛才能决出冠军？
Ms. Hamilton’s eighth-grade class wants to participate in the annual three-person-team basketball tournament. The losing team of each game is eliminated from the tournament. If sixteen teams compete, how many games will be played to determine the winner?
小提示：
每场比赛恰好淘汰一支队伍
Each game eliminates exactly one team.
大提示：
锦标赛在只剩一支队伍时结束
The tournament ends when all but one team have been eliminated.
解答：
每场比赛后都会淘汰一支队伍。要只剩下一支队伍，必须淘汰 支队伍。
因此必须打 场比赛。
所以正确答案是 D。
Note that after every game, one team gets eliminated. For there to be one team remaining, teams must have been eliminated.
This means that games had to have been played.
Thus, D is the correct answer.
其他年份的第 5 题
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